SIMPLICITY OF GROUPS OF EVEN ORDER

Abstract

In this paper, we show that groups of order 2npq, where p, q are primes of the from p = 2n − 1, q = 2n−1 + p with n ≥ 3, are not simple and groups of order 2npqt for t ≥ 2, where p, q are odd primes of the form p = 2m − 1, q = 2n − 1 with m < n, are not simple.

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